Non-perturbative monodromies in N=2 heterotic string vacua

TL;DR

This paper investigates non-perturbative effects and duality symmetries in four-dimensional N=2 heterotic string theories, revealing how enhanced gauge symmetries split into lines with massless monopoles and dyons, aligning with Seiberg-Witten results.

Contribution

It demonstrates how non-perturbative monodromies in heterotic string vacua correspond to Seiberg-Witten theory through a consistent truncation from local to rigid N=2 supersymmetry.

Findings

Enhanced gauge symmetry lines split into monopole and dyon points.

Perturbative and non-perturbative monodromies match Seiberg-Witten predictions.

Consistent truncation links string theory effects to field theory results.

Abstract

We address non-perturbative effects and duality symmetries in $N=2$ heterotic string theories in four dimensions. Specifically, we consider how each of the four lines of enhanced gauge symmetries in the perturbative moduli space of $N=2$ $T_2$ compactifications is split into 2 lines where monopoles and dyons become massless. This amounts to considering non-perturbative effects originating from enhanced gauge symmetries at the microscopic string level. We show that the perturbative and non-perturbative monodromies consistently lead to the results of Seiberg-Witten upon identication of a consistent truncation procedure from local to rigid $N=2$ supersymmetry.